How do you solve the system $3 x - 7 = - 6$ $3x-7=-6$ and $x + 2 y = 11$ $x+2y=11$ by graphing?

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Answer 1 · 2016-05-03T14:22:08

$x = 5$ $x=5$
$y = 3$ $y=3$

From the given equations

$3 x - 7 y = - 6$ $3x-7y=-6" "$ first equation
$x + 2 y = 11$ $x+2y=11" "$ second equation

$x = 11 - 2 y$ $x=11-2y" "$ this is from the second equation. Use this is the first equation

$3 x - 7 y = - 6$ $3x-7y=-6" "$ first equation

$3 (11 - 2 y) - 7 y = - 6$ $3(11-2y)-7y=-6$

$33 - 6 y - 7 y = - 6$ $33-6y-7y=-6$

$- 13 y = - 6 - 33$ $-13y=-6-33$

$- 13 y = - 39$ $-13y=-39$

$y = 3$ $y=3$

We go back to second equation and use $y = 3$ $y=3$

$x = 11 - 2 y$ $x=11-2y" "$

$x = 11 - 2 (3)$ $x=11-2(3)" "$

$x = 5$ $x=5$

God bless....I hope the explanation is useful.

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